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Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory

J. L. Cortes·J. Gamboa·L. Velazquez
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Abstract

The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the electromagnetic field together with a direct coupling between between both fields are the non-trivial ingredients of the lagrangian obtained from the non-relativistic limit of the fermionic relativistic formulation. The results, an electromagnetic gyromagnetic ratio 2 for any spin together with a non-trivial dynamical spin dependent contact interaction between anyons as well as the spin dependence of the electromagnetic effective action, agree with the quantum mechanical formulation.

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J. L. Cortes, J. Gamboa, L. Velazquez. 1992-11-24. Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory. https://doi.org/10.1142/s0217751x94000431

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